View Single Post
Old 04-18-2012, 01:33 PM   #37
LoneStar


 
LoneStar's Avatar
 
Drives: 2011 IOM Camaro
Join Date: Jul 2010
Location: Texas
Posts: 3,446
Quote:
Originally Posted by SM0KE View Post
Do not give away the answer in the thread
Use the poll to post your answer!
Here is the puzzle...

1234 = 1
5678 = 3
1111 = 0
8111 = 2
9876 = 4
8923 = 3
2468 = 4
5555 = 0
9999 = 4
1369 = ?
First realize that each number in the problem is equal to an actual numeric value (other than itself, i.e. 5 = 0). The numbers on the left must be added to make a total value, so:
1234 = 1, then becomes 1+2+3+4 = 1

Then draw yourself a table:
1 =
2 =
3 =
4 =
5 =
6 =
7 =
8 =
9 =


Start with the easy lines (repeating numbers):
1111 = 0

5555 = 0

9999 = 4

From the first two lines, the numbers must add up to zero (0), so the numbers must be zero. The second line must be four of the same number that equals four (which is one). Fill in the table:

1 = 0
2 =
3 =
4 =
5 = 0
6 =
7 =
8 =
9 = 1


Since you now know 1 = 0, then you can plug it into the next equation:

8111 = 2, so that it is now 8+[0]+[0]+[0] =2; which means 8 = 2

1 = 0
2 =
3 =
4 =
5 = 0
6 =
7 =
8 = 2
9 = 1


Since 9 = 1, and 8 = 2, plug it into another equation:

8923 = 3, so that it is now [2]+[1]+2+3 = 3; since the [2] + [1] = 3, then 2 and 3 must be zero.

1 = 0
2 = 0
3 = 0

4 =
5 = 0
6 =
7 =
8 = 2
9 = 1


Then plug those into the first line:

1234 = 1 so that it is now [0]+[0]+[0]+4=1, which means 4 =1.

1 = 0
2 = 0
3 = 0
4 = 1
5 = 0
6 =
7 =
8 = 2
9 = 1


Now since 2 = 0, 4 = 1, and 8 = 2, plug in to find the next number:

2468 = 4, so that it is now [0]+[1]+6+[2] = 4, which means 6 = 1

1 = 0
2 = 0
3 = 0
4 = 1
5 = 0
6 = 1
7 =
8 = 2
9 = 1


Now, since we have all numbers except 7, plug the numbers into any equation with a 7:

5678 = 3, so that it is now [0]+[1]+7+[2] = 3, which means 7 = 0.

1 = 0
2 = 0
3 = 0
4 = 1
5 = 0
6 = 1
7 = 0
8 = 2
9 = 1



Finally, plug them into the final equation for your prize:

1369 = ?, which becomes [0]+[0]+[1]+[1] = 2, so the answer is 2!!!
__________________
LoneStar is offline   Reply With Quote